105333536 has 144 divisors (see below), whose sum is σ = 273030912. Its totient is φ = 39513600.

The previous prime is 105333517. The next prime is 105333593. The reversal of 105333536 is 635333501.

It is a super-2 number, since 2×105333536² = 22190307612526592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105333499 and 105333508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534590 + ... + 534786.

It is an arithmetic number, because the mean of its divisors is an integer number (1896048).

Almost surely, 2^105333536 is an apocalyptic number.

105333536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105333536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136515456).

105333536 is an abundant number, since it is smaller than the sum of its proper divisors (167697376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105333536 is a wasteful number, since it uses less digits than its factorization.

105333536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 29.

The square root of 105333536 is about 10263.2127523500. The cubic root of 105333536 is about 472.2684004443.

The spelling of 105333536 in words is "one hundred five million, three hundred thirty-three thousand, five hundred thirty-six".